Get Answers to all your Questions

header-bg qa

Ten letters of an alphabet are given. Words with five letters are formed by these given letters. Then the number of words which have at least one letter repeated is

Option: 1

69760


Option: 2

30240


Option: 3

99748


Option: 4

none of these


Answers (1)

best_answer

Number of five letter words that can be formed from 10 letters

=10 \times 10 \times 10 \times 10 \times 10=10^{5}

Number of five letter words that have none of their letter repeated

={ }^{10} P_{5}=10 \times 9 \times 8 \times 7 \times 6=30240

\therefore  Number of words which have at least one letter repeated

=10^{5}-30240=69760

Posted by

Ritika Jonwal

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE