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In how many ways can a collection of none or more sarees be displayed from 16 Banarasi Silk, 5 Kerala cotton, 6 Zadhosi and 9 Bangalore silk?

Option: 1

7610


Option: 2

7410


Option: 3

4170


Option: 4

7140


Answers (1)

best_answer

Note the following:

  • The formula for the combination for the selection of the \mathrm{x} items from the \mathrm{y}different items is \mathrm{=^{y}C_{x}=\frac{y!}{x!(y-x)!}}

  • The combination for the selection of the none or more items from the \mathrm{n}identical items is \mathrm{=n+1}

From the available data, the following is evident.

  • The combination for the selection of the none or more Banarasi Silk is =16+1=17

  • The combination for the selection of the none or more Kerala cotton is =5+1=6

  • The combination for the selection of the none or more , Zadhosi is=6+1=7

  • The combination for the selection of the none or more , Bangalore silk is=9+1=10

Therefore, the required combination is

=17\times6\times7\times10

=7140

Posted by

Suraj Bhandari

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